Stochastic stability and observer design for the lac operon model

Asma Ahmed Ben Halim; Krishna Busawon; Maia Angelova

doi:10.1109/CEIT.2015.7233118

Stochastic stability and observer design for the lac operon model

Asma Ahmed Ben Halim, Krishna Busawon, Maia Angelova

Research output: Chapter in Book/Published conference output › Conference publication

Abstract

The aim of this study is to investigate the stability properties of a model of the lac operon enhanced with stochastic perturbations. New sufficient conditions of exponential mean square stability are obtained analytically for this model and threshold values derived. For regulatory networks, an observer method for the dynamic of the lac operon model is employed, that uses the measured input and output of the model, to estimate proteins concentration that cannot be easily measured experimentally. Numerical investigations of the bistability and the observer are performed with respect to lactose concentration and noise terms. We demonstrate that the noise affects the behaviour in the bistable region.

Original language	English
Title of host publication	3rd International Conference on Control, Engineering and Information Technology, CEIT 2015
Publisher	IEEE
ISBN (Electronic)	9781479982127
DOIs	https://doi.org/10.1109/CEIT.2015.7233118
Publication status	Published - 31 Aug 2015
Event	3rd International Conference on Control, Engineering and Information Technology, CEIT 2015 - Tlemcen, Algeria Duration: 25 May 2015 → 27 May 2015

Publication series

Name	3rd International Conference on Control, Engineering and Information Technology, CEIT 2015

Conference

Conference	3rd International Conference on Control, Engineering and Information Technology, CEIT 2015
Country/Territory	Algeria
City	Tlemcen
Period	25/05/15 → 27/05/15

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

Keywords

Deterministic of the lac operon model
Observer method for the model
Stochastic stability of the model

Access to Document

10.1109/CEIT.2015.7233118

Cite this

Ben Halim, A. A., Busawon, K., & Angelova, M. (2015). Stochastic stability and observer design for the lac operon model. In 3rd International Conference on Control, Engineering and Information Technology, CEIT 2015 Article 7233118 (3rd International Conference on Control, Engineering and Information Technology, CEIT 2015). IEEE. https://doi.org/10.1109/CEIT.2015.7233118

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title = "Stochastic stability and observer design for the lac operon model",

abstract = "The aim of this study is to investigate the stability properties of a model of the lac operon enhanced with stochastic perturbations. New sufficient conditions of exponential mean square stability are obtained analytically for this model and threshold values derived. For regulatory networks, an observer method for the dynamic of the lac operon model is employed, that uses the measured input and output of the model, to estimate proteins concentration that cannot be easily measured experimentally. Numerical investigations of the bistability and the observer are performed with respect to lactose concentration and noise terms. We demonstrate that the noise affects the behaviour in the bistable region.",

keywords = "Deterministic of the lac operon model, Observer method for the model, Stochastic stability of the model",

author = "{Ben Halim}, {Asma Ahmed} and Krishna Busawon and Maia Angelova",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 3rd International Conference on Control, Engineering and Information Technology, CEIT 2015 ; Conference date: 25-05-2015 Through 27-05-2015",

year = "2015",

month = aug,

day = "31",

doi = "10.1109/CEIT.2015.7233118",

language = "English",

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Ben Halim, AA, Busawon, K & Angelova, M 2015, Stochastic stability and observer design for the lac operon model. in 3rd International Conference on Control, Engineering and Information Technology, CEIT 2015., 7233118, 3rd International Conference on Control, Engineering and Information Technology, CEIT 2015, IEEE, 3rd International Conference on Control, Engineering and Information Technology, CEIT 2015, Tlemcen, Algeria, 25/05/15. https://doi.org/10.1109/CEIT.2015.7233118

Stochastic stability and observer design for the lac operon model. / Ben Halim, Asma Ahmed; Busawon, Krishna; Angelova, Maia.
3rd International Conference on Control, Engineering and Information Technology, CEIT 2015. IEEE, 2015. 7233118 (3rd International Conference on Control, Engineering and Information Technology, CEIT 2015).

Research output: Chapter in Book/Published conference output › Conference publication

TY - GEN

T1 - Stochastic stability and observer design for the lac operon model

AU - Ben Halim, Asma Ahmed

AU - Busawon, Krishna

AU - Angelova, Maia

PY - 2015/8/31

Y1 - 2015/8/31

N2 - The aim of this study is to investigate the stability properties of a model of the lac operon enhanced with stochastic perturbations. New sufficient conditions of exponential mean square stability are obtained analytically for this model and threshold values derived. For regulatory networks, an observer method for the dynamic of the lac operon model is employed, that uses the measured input and output of the model, to estimate proteins concentration that cannot be easily measured experimentally. Numerical investigations of the bistability and the observer are performed with respect to lactose concentration and noise terms. We demonstrate that the noise affects the behaviour in the bistable region.

AB - The aim of this study is to investigate the stability properties of a model of the lac operon enhanced with stochastic perturbations. New sufficient conditions of exponential mean square stability are obtained analytically for this model and threshold values derived. For regulatory networks, an observer method for the dynamic of the lac operon model is employed, that uses the measured input and output of the model, to estimate proteins concentration that cannot be easily measured experimentally. Numerical investigations of the bistability and the observer are performed with respect to lactose concentration and noise terms. We demonstrate that the noise affects the behaviour in the bistable region.

KW - Deterministic of the lac operon model

KW - Observer method for the model

KW - Stochastic stability of the model

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UR - https://ieeexplore.ieee.org/document/7233118

U2 - 10.1109/CEIT.2015.7233118

DO - 10.1109/CEIT.2015.7233118

M3 - Conference publication

AN - SCOPUS:84960156470

T3 - 3rd International Conference on Control, Engineering and Information Technology, CEIT 2015

BT - 3rd International Conference on Control, Engineering and Information Technology, CEIT 2015

PB - IEEE

T2 - 3rd International Conference on Control, Engineering and Information Technology, CEIT 2015

Y2 - 25 May 2015 through 27 May 2015

ER -

Stochastic stability and observer design for the lac operon model

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